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Finding the Fourth Proportional to 6,543.06, 9,809.10 and 2,650.20

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Solution

The fourth proportional to 6,543.06, 9,809.10 and 2,650.20 is: 3,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.06 : 9,809.10 = 2,650.20 : x
  2. Step 2: Convert to fraction form
    6,543.06/9,809.10 = 2,650.20/x
  3. Step 3: Cross multiply
    6,543.06x = 9,809.10 × 2,650.20
  4. Step 4: Simplify right side
    6,543.06x = 25,996,076.82
  5. Step 5: Solve for x
    x = 25,996,076.82/6,543.06
  6. Step 6: Final answer
    x = 3,973.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.